Question

Write an equation in slope-intercept form for the line that passes through the points

(5, 7) and (8, 5).

Answer 1

`y = (-2)/(3)x + 31`

Explanation:

let,

(x1, y1) = (5,7) & (x2, y2) = (8,5)

Now we know,

`(x-x_(1) )/(x_(1)-x_(2) )= (y-y_(1))/(y_(1)-y_(2) )`

⇒
`(x-5)/(5-8)=(y-7)/(7-5)`

⇒
`(x-5)/(-3)=(y-7)/(2)`

⇒
`2x - 10 = -3y +21`

⇒
`3y = -2x +10 +21`

⇒
`3y = -2x + 31`

⇒
`y = (-2)/(3)x +(31)/(3)`